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105044141 = 1924367101
BaseRepresentation
bin1100100001011…
…01100010101101
321022122210110202
412100231202231
5203342403031
614231243245
72413601066
oct620554255
9238583422
10105044141
1154327244
122b219525
13189bb6c7
14dd4556d
15934e2cb
hex642d8ad

105044141 has 24 divisors (see below), whose sum is σ = 116275104. Its totient is φ = 94802400.

The previous prime is 105044129. The next prime is 105044161. The reversal of 105044141 is 141440501.

It is not a de Polignac number, because 105044141 - 26 = 105044077 is a prime.

It is a super-2 number, since 2×1050441412 = 22068543116855762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105044161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039991 + ... + 1040091.

It is an arithmetic number, because the mean of its divisors is an integer number (4844796).

Almost surely, 2105044141 is an apocalyptic number.

It is an amenable number.

105044141 is a deficient number, since it is larger than the sum of its proper divisors (11230963).

105044141 is a wasteful number, since it uses less digits than its factorization.

105044141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105044141 is about 10249.1043998976. The cubic root of 105044141 is about 471.8354978906.

Adding to 105044141 its reverse (141440501), we get a palindrome (246484642).

The spelling of 105044141 in words is "one hundred five million, forty-four thousand, one hundred forty-one".

Divisors: 1 19 43 67 101 361 817 1273 1919 2881 4343 6767 15523 24187 36461 54739 82517 128573 290981 1040041 1567823 2442887 5528639 105044141